Mathematical model of the dynamic modes of the microclimate system in the livestock building with a heat exchanger
DOI:
https://doi.org/10.31548/energiya1(65).2023.066Abstract
The article determines the relevance of research options for the use of heat exchange equipment for the utilization of the heat of the exhaust air of livestock building. It has been analyzed that for the efficient functioning of heat-utilizers, it is necessary not only to choose optimal design parameters, but also to implement rational energy-efficient modes. It was determined that for the synthesis of the system of automatic control of the thermo-humidity mode in the room, it is necessary to determine the dynamic characteristics of the control object based on the mathematical model of dynamic modes. The analysis of the existing heat utilization systems is presented and it is stated that they have only analytical dependencies for their description, which describe the stationary regimes of heat utilization systems that determine the statics of heat and mass exchange (moisture condensation on the surface) processes. In the considered works, the combined functioning of the heat recovery unit and the livestock building in non-stationary mode is not considered. On the basis of the analysis of the heat-moisture regime of the livestock building, the ventilation system of which is equipped with a recuperative type heat recovery unit, a mathematical description in the form of differential equations of the heat and material balance of the livestock building with the heat utilization ventilation system was compiled. Mathematical models of the heat and material balance for the livestock building have been developed in the form of a system of three differential equations, which contain two interrelated parameters: temperature and air humidity. But since the parameters of the air in the room with the waste ventilation air heat utilizer depend on the parameters and mode of operation of the heat exchanger, the equation of the thermal regime of the room was developed with the equations that determine the non-stationary thermal regime of the heat utilizer. The formulated mathematical model describes the non-stationary process of heat exchange in the microclimate creation system and can be used to justify the design and operating parameters of the heat exchanger regardless of design features. The mathematical model defines the transition process in the "room-heat-utilizer" system and can be used to create a system for automatic temperature-humidity control.
Key words: livestock building, microclimate, heat exchanger, thermal regime, mathematical model
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